Higher Arithmetic

Higher Arithmetic PDF Author: Harold M. Edwards
Publisher: American Mathematical Soc.
ISBN: 9780821844397
Category : Mathematics
Languages : en
Pages : 228

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Book Description
Among the topics featured in this textbook are: congruences; the fundamental theorem of arithmetic; exponentiation and orders; primality testing; the RSA cipher system; polynomials; modules of hypernumbers; signatures of equivalence classes; and the theory of binary quadratic forms. The book contains exercises with answers.

Higher Arithmetic

Higher Arithmetic PDF Author: Harold M. Edwards
Publisher: American Mathematical Soc.
ISBN: 9780821844397
Category : Mathematics
Languages : en
Pages : 228

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Book Description
Among the topics featured in this textbook are: congruences; the fundamental theorem of arithmetic; exponentiation and orders; primality testing; the RSA cipher system; polynomials; modules of hypernumbers; signatures of equivalence classes; and the theory of binary quadratic forms. The book contains exercises with answers.

The Higher Arithmetic

The Higher Arithmetic PDF Author: Harold Davenport
Publisher:
ISBN: 9780511650161
Category : Mathematics
Languages : en
Pages : 251

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Book Description
Classic text in number theory; this eighth edition contains new material on primality testing written by J. H. Davenport.

The Higher Arithmetic

The Higher Arithmetic PDF Author: H. Davenport
Publisher: Cambridge University Press
ISBN: 9780521634465
Category : Mathematics
Languages : en
Pages : 248

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Book Description
Seventh edition of a classic elementary number theory book.

Quadratic Number Theory: An Invitation to Algebraic Methods in the Higher Arithmetic

Quadratic Number Theory: An Invitation to Algebraic Methods in the Higher Arithmetic PDF Author: J. L. Lehman
Publisher: American Mathematical Soc.
ISBN: 1470447371
Category : Algebraic fields
Languages : en
Pages : 394

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Book Description
Quadratic Number Theory is an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some familiarity with the terminology of abstract algebra. By restricting attention to questions about squares the author achieves the dual goals of making the presentation accessible to undergraduates and reflecting the historical roots of the subject. The representation of integers by quadratic forms is emphasized throughout the text. Lehman introduces an innovative notation for ideals of a quadratic domain that greatly facilitates computation and he uses this to particular effect. The text has an unusual focus on actual computation. This focus, and this notation, serve the author's historical purpose as well; ideals can be seen as number-like objects, as Kummer and Dedekind conceived of them. The notation can be adapted to quadratic forms and provides insight into the connection between quadratic forms and ideals. The computation of class groups and continued fraction representations are featured—the author's notation makes these computations particularly illuminating. Quadratic Number Theory, with its exceptionally clear prose, hundreds of exercises, and historical motivation, would make an excellent textbook for a second undergraduate course in number theory. The clarity of the exposition would also make it a terrific choice for independent reading. It will be exceptionally useful as a fruitful launching pad for undergraduate research projects in algebraic number theory.

Higher Arithmetic

Higher Arithmetic PDF Author: George Wentworth
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 264

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Book Description


The Higher Arithmetic

The Higher Arithmetic PDF Author: Harold Davenport
Publisher:
ISBN: 9780090306114
Category : Number theory
Languages : en
Pages : 172

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Book Description


Higher Arithmetic

Higher Arithmetic PDF Author: Wooster Woodruff Beman
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 232

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Book Description


Ray's New Higher Arithmetic

Ray's New Higher Arithmetic PDF Author: Joseph 1807-1855 Ray
Publisher: Legare Street Press
ISBN: 9781013323034
Category :
Languages : en
Pages : 420

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Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Higher Arithmetic, Or The Science and Application of Numbers Combining the Analytic and Synthetic Modes of Instruction

Higher Arithmetic, Or The Science and Application of Numbers Combining the Analytic and Synthetic Modes of Instruction PDF Author: James B. matematico Thomson
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 436

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Book Description


Arithmetic

Arithmetic PDF Author: Paul Lockhart
Publisher: Harvard University Press
ISBN: 067423751X
Category : Mathematics
Languages : en
Pages : 232

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Book Description
Paul Lockhart reveals arithmetic not as the rote manipulation of numbers but as a set of ideas that exhibit the surprising behaviors usually reserved for higher branches of mathematics. In this entertaining survey, he explores the nature of counting and different number systems—Western and non-Western—and weighs the pluses and minuses of each.